Six identical conducting rods are joined as s | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Let the thermal resistance of each rod be $R$. The circuit can be simplified by considering the thermal resistances in series and parallel.The cen

Vedclass · Accepted Answer

$140$

Vedclass · Answer

(C) Let the thermal resistance of each rod be $R$. The circuit can be simplified by considering the thermal resistances in series and parallel.The central diamond part consists of two parallel branches,each containing two rods in series. The resistance of each branch is $R + R = 2R$. Since these two branches are in parallel,their equivalent resistance $R_{eq}$ is given by $\frac{1}{R_{eq}} = \frac{1}{2R} + \frac{1}{2R} = \frac{1}{R}$,so $R_{eq} = R$.Now,the total circuit consists of three resistances in series: the rod $AB$ (resistance $R$),the equivalent resistance of the diamond part $(R_{eq} = R)$,and the rod $CD$ (resistance $R$).The total resistance is $R_{total} = R + R + R = 3R$.The total temperature drop is $\Delta T = 200^{\circ}C - 20^{\circ}C = 180^{\circ}C$.The heat current $H$ flowing through the circuit is $H = \frac{\Delta T}{R_{total}} = \frac{180}{3R} = \frac{60}{R}$.For junction $B$,the temperature $	heta_B$ is given by $200 - 	heta_B = H 	imes R = \frac{60}{R} 	imes R = 60$.Therefore,$	heta_B = 200 - 60 = 140^{\circ}C$.

Six identical conducting rods are joined as shown in the figure. Points $A$ and $D$ are maintained at temperatures $200\,^{\circ}C$ and $20\,^{\circ}C$,respectively. The temperature of junction $B$ will be ......... $^{\circ}C$.

Similar Questions

Which of the following is a characteristic of monocots?

Which one of the following gives a yellow precipitate with iodine and $NaOH$ solution?

Breeding of crops with high levels of minerals,vitamins,and proteins is called:

If $200 \text{ MeV}$ of energy is released in the fission of one nucleus of ${}_{92}^{236}U$,the number of nuclei that must undergo fission to release an energy of $1000 \text{ J}$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module